Let's divide 563741 by 61
Our goal is to divide 563741 by 61.

Going ahead to step 1:
5 divided by 61 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 61

Moving on to step 2:
If we divide 56 by 61, we get 0 and a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 56 and we're left with 56.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 61

Advancing to step 3:
61 can be fit into 563 9 times, resulting in a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 549 away from 563, we end up with 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 61

Step 4:
61 goes into 147 2 times with a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 92.0
The remainder is 25 after subtracting 122 from 147.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 61

Going ahead to step 5:
When dividing 254 by 61, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 924.0
The remainder is 10 after subtracting 244 from 254.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 61

On to step 6:
If we divide 101 by 61, we get 1 and a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 9241.0
Deduct 61 from 101 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
When dividing 400 by 61, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 9241.6
If we take 366 away from 400, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
61 can be fit into 340 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 9241.65
If we take 305 away from 340, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 9241.655
Subtract 305 from 350 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 9241.655, and the remainder is 0.0045.